The Relation between Solutions of Higher Order Linear Differential Equations and Functions of Small Growth
Jin Jin
Abstract
Jin Jin
Abstract
In this paper, the growth of solutions of higher order linear differential equation is investigates, in the 12 12 2 1 0 0 kk k az bz kk f A z f A z f A z f A z e f A z e f 0 j Az were entire functions, 10 ,1, 2, , 1 j Aj k , ab , are non-zero constant obtains their 1st, 2nd derivatives, diffe rential polynomial of differential equations with function of small growth.
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In this paper, the growth of solutions of higher order linear differential equation is investigates, in the 12 12 2 1 0 0 kk k az bz kk f A z f A z f A z f A z e f A z e f 0 j Az were entire functions, 10 ,1, 2, , 1 j Aj k , ab , are non-zero constant obtains their 1st, 2nd derivatives, diffe rential polynomial of differential equations with function of small growth.
Key concepts: Mathematics, Linear differential equation, Differential equation, Order (exchange), Entire function, Constant (computer programming), Mathematical analysis, Homogeneous differential equation